AVIRON
424B3, 1998-06-12
BIOLOGICAL PRODUCTS, (NO DIAGNOSTIC SUBSTANCES)
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<PAGE>   1
                                                               Filed Pursuant to
                                                          Rule 424(b)(3) and (c)
                                                              File No. 333-50505

                 PROSPECTUS SUPPLEMENT NO. 3 DATED JUNE 12, 1998
                         TO PROSPECTUS DATED MAY 4, 1998

                                     AVIRON
                                  $100,000,000
                 5-3/4% Convertible Subordinated Notes due 2005
                                       and
             Shares of Common Stock Issuable Upon Conversion thereof

        This Prospectus Supplement should be read in conjunction with the
Prospectus dated May 4, 1998 (the "Prospectus"). The table on pages 45 and 46 of
the Prospectus setting forth information concerning the Selling Securityholders
is superseded by the following table:

                             SELLING SECURITYHOLDERS

        The following table sets forth the names of the Selling Securityholders,
the number of shares of Common Stock owned by each of them as of the date of
this supplement and the principal amount of Notes and number of Conversion
Shares which may be offered pursuant to this Prospectus. The information is
based upon information provided by or on behalf of the Selling Securityholders.
The Selling Securityholders may offer all, some or none of their Notes or
Conversion Shares.


<TABLE>
<CAPTION>
                                         PRINCIPAL AMOUNT                                                   
                                          OF NOTES OWNED    PRINCIPAL AMOUNT     COMMON STOCK OWNED       
                                            PRIOR TO        OF NOTES OFFERED          PRIOR TO              COMMON STOCK   
              NAME                         OFFERING(1)           HEREBY            OFFERING(1)(2)          OFFERED HEREBY  
              ----                         -----------           ------            --------------          --------------  
<S>                                      <C>                <C>                  <C>                       <C>
AAM/Zazove Institutional Income           $   800,000         $   800,000                  0                    0
Fund, L.P.

Alexandra Global Investment Fund I,         2,000,000           2,000,000             70,716                    0
Inc.

Argent Classic Convertible                  1,000,000           1,000,000                  0                    0
Arbitrage Fund L.P.

Argent Classic Convertible                  2,000,000           2,000,000                  0                    0
Arbitrage Fund (Bermuda) L.P.

BancAmerica Robertson Stephens              1,250,000           1,250,000                  0                    0

BNP Arbitrage SNC                           4,550,000           4,550,000                  0                    0

BT Holdings (New York), Inc.                1,000,000           1,000,000                  0                    0

Chrysler Corporation Master                 2,330,000           2,330,000                  0                    0
Retirement Trust

CIBC Oppenheimer                            1,050,000           1,050,000                  0                    0

</TABLE>



                                       1.
<PAGE>   2
<TABLE>
<CAPTION>
                                         PRINCIPAL AMOUNT                                                   
                                          OF NOTES OWNED    PRINCIPAL AMOUNT     COMMON STOCK OWNED       
                                            PRIOR TO        OF NOTES OFFERED          PRIOR TO              COMMON STOCK   
              NAME                         OFFERING(1)           HEREBY            OFFERING(1)(2)          OFFERED HEREBY  
              ----                         -----------           ------            --------------          --------------  
<S>                                      <C>                <C>                  <C>                       <C>
Declaration of Trust for the                  800,000             800,000                  0                    0
Defined Benefit Plans of ICI
American Holdings Inc.

Declaration of Trust for the                  500,000             500,000                  0                    0
Defined Benefit Plans of ZENECA
Holdings Inc.

Delaware PERS                                 720,000             720,000                  0                    0

Delaware State Employees'                   2,850,000           2,850,000                  0                    0
Retirement Fund

Donaldson, Lufkin & Jenrette                2,800,000           2,800,000                  0                    0
Securities Corporation

Fidelity American Trust                       200,000             200,000                  0                    0

Fidelity Financial Trust Fidelity          11,800,000          11,800,000                  0                    0
Convertible Securities Fund

Forest Alternative Strategies Fund             60,000              60,000                  0                    0
II Series A-5I

Forest Alternative Strategies Fund          1,175,000           1,175,000                  0                    0
II LP Series A-5

Forest Alternative Strategies Fund             30,000              30,000                  0                    0
II LP Series A-5M

Forest Alternative Strategies Fund            135,000             135,000                  0                    0
Series B-3

Forest Global Convertible Fund              1,175,000           1,175,000                  0                    0
Series A-5

Forest Global Convertible Fund                100,000             100,000                  0                    0
Series B-1

Forest Global Convertible Fund                 75,000              75,000                  0                    0
Series B-2

Forest Global Convertible Fund                 50,000              50,000                  0                    0
Series B-3

Forest Global Convertible Fund                 75,000              75,000                  0                    0
Series B-5

Forest Greyhound                              100,000             100,000                  0                    0

Forum Capital Markets L.P.                  1,000,000           1,000,000                  0                    0

Fox Family Foundation 10/10/87                 55,000              55,000                  0                    0

Fox Family Portfolio Partnership              200,000             200,000                  0                    0

Forest Performance Fund                        75,000              75,000                  0                    0
</TABLE>



                                       2.
<PAGE>   3
<TABLE>
<CAPTION>
                                         PRINCIPAL AMOUNT                                                   
                                          OF NOTES OWNED    PRINCIPAL AMOUNT     COMMON STOCK OWNED       
                                            PRIOR TO        OF NOTES OFFERED          PRIOR TO              COMMON STOCK   
              NAME                         OFFERING(1)           HEREBY            OFFERING(1)(2)          OFFERED HEREBY  
              ----                         -----------           ------            --------------          --------------  
<S>                                      <C>                <C>                  <C>                       <C>
Heritage Series Trust Small Cap             1,000,000           1,000,000            100,000                    0
Stock Fund

ICI American Holdings                         310,000             310,000                  0                    0

JMG Convertible Investments, L.P.             500,000             500,000                  0                    0

Lincoln National Convertible                1,700,000           1,700,000                  0                    0
Securities Fund

LLT Limited                                    45,000              45,000                  0                    0

MainStay Convertible Fund                   2,000,000           2,000,000             68,800                    0

McMahan Securities Company L.P.             1,800,000           1,800,000                  0                    0

Nalco Chemical Company                        160,000             160,000                  0                    0

Northwestern Mutual Life Insurance          2,000,000           2,000,000                  0                    0
Company

OCM Convertible Limited Partnership           135,000             135,000                  0                    0

OCM Convertible Trust                       3,225,000           3,225,000                  0                    0

Pacific Life Insurance Company              3,000,000           3,000,000                  0                    0

Paloma Securities L.L.C.                    2,700,000           2,700,000                  0                    0

Partner Reinsurance Company, Ltd.             335,000             335,000                  0                    0

Shroders & Co. Inc.                         2,950,000           2,950,000                  0                    0

Silverton International Fund Limited        2,300,000           2,300,000                  0                    0

Societe Generale Securities Corp.           6,500,000           6,500,000                  0                    0

State Employees' Retirement Fund of           725,000             725,000                  0                    0
the State of Delaware

State of Connecticut Combined               2,760,000           2,760,000                  0                    0
Investment Funds

Thermo Eletron Balanced Investment            850,000             850,000                  0                    0
Fund

Triton Capital Investments, Ltd.              500,000             500,000                  0                    0

Vanguard Convertible Securities             1,990,000           1,990,000                  0                    0
Fund, Inc.

Walker Art Center                             220,000             220,000                  0                    0

Weirton Trust                                 580,000             580,000                  0                    0
</TABLE>



                                       3.
<PAGE>   4
<TABLE>
<CAPTION>
                                         PRINCIPAL AMOUNT                                                   
                                          OF NOTES OWNED    PRINCIPAL AMOUNT     COMMON STOCK OWNED       
                                            PRIOR TO        OF NOTES OFFERED          PRIOR TO              COMMON STOCK   
              NAME                         OFFERING(1)           HEREBY            OFFERING(1)(2)          OFFERED HEREBY  
              ----                         -----------           ------            --------------          --------------  
<S>                                      <C>                <C>                  <C>                      <C>
Zeneca Holdings Trust                         310,000             310,000                  0                    0
                                          -----------         -----------          ---------              --------
TOTAL                                     $78,550,000         $78,550,000            239,516                    0
                                          ===========         ===========          =========              ========
</TABLE>

- ----------

(1)     Beneficial ownership is determined in accordance with the Rule of the
        SEC and generally includes voting or investment power with respect to
        securities. Except as otherwise indicated by footnote, and subject to
        community property laws where applicable, the persons named in the table
        have sole voting and investment power with respect to all shares on
        Common Stock shown as beneficially owned by them. Numbers reflect
        ownership prior to the date of this Supplement.

(2)     Includes Conversion Shares based on a conversion price of $30.904 per
        share and a cash payment in lieu of any fractional interest.

        Because the Selling Securityholders may offer all or some of the Notes
        that they hold and/or Conversion Shares pursuant to the offering
        contemplated by this Prospectus, and because there are currently no
        agreements, arrangements or understandings with respect to the sale of
        any of the Notes or Conversion Shares by the Selling Securityholders, no
        estimate can be given as to the principal amount of Notes or Conversion
        of Shares that will be held by the Selling Securityholders after
        completion of this offering.


                                       4.


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